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Paper · arXiv

Scalable anomaly detection via a univariate Christoffel function

Anomaly detection plays a critical role in identifying unusual patterns across domains such as fraud detection, network intrusion, and system fault diagnosis. Recently, Christoffel function-based methods, rooted in polynomial optimization, have emerged as promising alternatives to deep learning due to their strong mathematical foundations and computational frugality. However, their practical applicability is hindered by the need to invert a matrix whose size grows exponentially with the data dimension, rendering the method intractable even for moderate-dimensional datasets. This paper addresses the dimensionality limitations of Christoffel function-based anomaly detection while preserving...

AuthorsFlorian Grivet, Didier Henrion, Jean-Bernard Lasserre et al.
Primary categorycs.LG
Published10 June 2026
Last updated at source10 June 2026
cs.LG
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